The US term for the shape is trapezoid, and has only one pair of parallel sides.(The term trapezium is used for these shapes in the UK and many other countries.)
trapezoids
rhombus
A square
rectangular
Any polygon with four or more sides can have a pair of parallel sides. It is also possible to to have non-polygonal shapes - eg a cigar-shape - that has parallel sides.
A quadrilateral that has only one pair of parallel sides (the other pair not parallel) is a trapezium.
Any polygon, other than a triangle, can have one pair of parallel sides.
No. A trapezoid only has one pair of parallel sides.
The name of the four-sided shape that has only one pair of parallel sides is known as a trapezoid. The other two sides are not parallel to each other. There are many other shapes with more than four sides that have one pair of parallel sides but these typically don't have special names. So assuming the question is only referring to four-sided figures, the answer is a trapezoid.
It has no parallel sides
No, trapezoids are not rectangles. While both shapes have four sides, rectangles have opposite sides that are equal in length and all interior angles are right angles, whereas trapezoids have only one pair of opposite sides that are parallel.